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Worksheets

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Total questions: 25

Worksheet time: 15mins

Name
Class
Date
1.

The potential field (voltage) at a certain point A due to a point charge that is located at another point B is ___ to  the permittivity of the material in between.

a)

Independent

b)

Directly proportional

c)

Inversely proportional

d)

None of the above

2.

 If the voltage at point A with respect to a reference point X is VA and the voltage at point B with respect to a  reference point X is VB, the potential difference VBA is equal to

a)

VB − VA

b)

VA + VB

c)

VA − VB

d)

both b and c

3.

The capacitance per unit length of a coaxial __ if the dielectric material’s permittivity decreases.

a)

Increases

b)

Decreases

c)

Remains the same

d)

Cannot be determined. Not enough data.

4.

The unit for material’s conductivity(σ).

a)

S ∙ m

b)

S⁄m

c)

m⁄Ω

d)

Ω ∙ m

5.

Measures the amount of electric charge stored for a given electric potential.

a)

Electric field intensity

b)

Voltage

c)

Capacitance

d)

Current density

6.

Which of the following equations defines the relation between electric field and voltage.

a)

E = −(∇ ∙ V)

b)

E = −(∇ × V)

c)

E = −∇ ∙ (∇ × V)

d)

E = −∇V

7.

 A capacitor can store 1 milli-joule at a potential difference of 5 V on its terminal leads when fully charge.  Determine the capacitance.

a)

40 μF

b)

400 μF

c)

80 μF

d)

200 μF

8.

The following statements is correct about electric dipole except for

a)

Two point charges that are either both positive charge, or both negative charge.

b)

Two point charges that are either both positive charge, or both negative charge.

c)

The following statements is correct about electric dipole except for

d)

None of the above

9.

What will happen to the capacitance (C) of a capacitor if the external electric field decreases?

a)

Decreases

b)

Increases

c)

Remains the same

d)

Cannot be determined. Not enough information

10.

An induced electric field within a dielectric material due to the external application of an electric field E is called ___. This electric field is generally weaker and opposite in direction to the applied E.

a)

Dipole field

b)

Dielectric field

c)

Counter field

d)

Polarization field

11.

A parallel plate capacitor filled with mica having εr = 5. If the area of the parallel plate is six square meters and separation distance is 3.01 mm, determine the capacitance.

a)

17.65 nF

b)

14.71 nF

c)

73.54 nF

d)

88.25 nF

12.

Ideally, dielectric materials have a conductivity of ___.

a)

0

b)

−∞

c)

1

d)

13.

Which of the following is the unit used for current density?

a)

A ∙ m

b)

A ∙ m^2

c)

A⁄m

d)

A⁄m^2

14.

Determine the maximum energy stored for a 12 μF capacitor that accumulates 8 mC at maximum.

a)

0.75 Joules

b)

333.33 Joules

c)

93.75 × 10−3

Joules

d)

2.67 Joules

15.

What will happen to the current density within a conductor if the electric field intensity affecting the material is increased?

a)

Current density also increases

b)

Current density will decrease

c)

Current density won’t be affected

d)

Cannot be determined. Not enough data.

16.

An electric dipole has two point charges that has magnitude of 15 μC that is separated by a microscopic distance of 5 μm. Determine its dipole moment (p).

a)

75 × 10^12 C ∙ m

b)

150 × 10^12 C ∙ m

c)

225 × 10^12 C ∙ m

d)

3 × 10^12 C ∙ m

17.

These are electric field bent outwards on the edge of capacitor’s plates.

a)

Fringing fields

b)

Non-uniform fields

c)

Outside fields

d)

Reactive fields

18.

Calculate the total capacitance of a 20 meter long coaxial cable if the inner and outer conductor is air-separated and the radii are 2.2 mm and 6 mm, respectively.

a)

55.45 pF

b)

1.11 nF

c)

11.89 nF

d)

5.84 pF

19.

A capacitor plates has dimensions of 5x6 cm and air-separated by a distance of 1mm. Calculate the capacitance of this capacitor.

a)

26.56 × 10^−15 F

b)

265.63 × 10^−6 F

c)

26.56 × 10^−12 F

d)

265.63 × 10^−9 F

20.

If VA = 15 V at (2,2,2) and VB = 4 V at (3,5,3) when V = 0 V at origin, solve for VAB.

a)

19 V

b)

-19 V

c)

-11 V

d)

11 V

21.

Given a cylindrical current density J = 1000ρz^2.5 az A⁄m^2 for region 0 ≤ ρ ≤ 3 mm ; for ρ > 3 mm, J = 0.

Determine the total current crossing the surface z = 0.5 m in the az direction.

a)

12 mA

b)

10 μA

c)

8 μA

d)

8 μA

22.

A 20 nC point charge located at (2,2,2) in free space. Calculate VA if point A is located at origin and V = 0 is at infinity.

a)

51.89 V

b)

33.28 V

c)

5.25 V

d)

0 V

23.

An electric field is expressed in rectangular coordinates by E = 3x^2 ax − 6y ay + 4z az V/m. Determine the voltage VAB if points A and B are A(−2,1,3) and B(0,2, −1), respectively.

a)

−10 V

b)

20V

c)

−17 V

d)

20V

24.

Given a cylindrical current density J = 1000ρz^2.5 az A⁄m^2 for region 0 ≤ ρ ≤ 3 mm ; for ρ > 3 mm, J = 0.

If the charge velocity is 3 × 10^6 m⁄s at ρ = 3mm & z = 1.5 m, solve for volume charge density there.

a)

3.56 μC

⁄m^3

b)

10.75 μC

⁄m^3

c)

5.67 μC

⁄m^3

d)

2.76 μC

⁄m^3

25.

A 20 nC point charge located at (2,2,2) in free space. Calculate VA if point A is located at origin and V = 0 is at (−1,3, −2).

a)

16.64 V

b)

35.25 V

c)

51.89 V

d)

18.61 V